12790499236704 has 1152 divisors, whose sum is σ = 45269309030400. Its totient is φ = 3477091276800.

The previous prime is 12790499236667. The next prime is 12790499236721. The reversal of 12790499236704 is 40763299409721.

12790499236704 is a `hidden beast` number, since 1 + 2 + 79 + 0 + 499 + 2 + 3 + 6 + 70 + 4 = 666.

It is a super-4 number, since 4×12790499236704⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15244933117 + ... + 15244933955.

It is an arithmetic number, because the mean of its divisors is an integer number (39296275200).

Almost surely, 2^{12790499236704} is an apocalyptic number.

12790499236704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12790499236704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22634654515200).

12790499236704 is an abundant number, since it is smaller than the sum of its proper divisors (32478809793696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12790499236704 is a wasteful number, since it uses less digits than its factorization.

12790499236704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 12790499236704 in words is "twelve trillion, seven hundred ninety billion, four hundred ninety-nine million, two hundred thirty-six thousand, seven hundred four".